The paper deals with the re­se­arch findings concerning the process of mastering the the­ore­ti­cal ba­sics of discre­te mat­he­ma­tics by the students of  vo­ca­ti­onal pedagogic profile. The met­ho­do­lo­gi­cal analysis is ba­sed on the sub­ject and functi­ons of the mo­dern discre­te mat­he­ma­tics and its ro­le in mat­he­ma­ti­cal mo­de­ling and com­pu­ting.

The modern discrete mathematics (i.e. mathematics of the finite type structures) plays the important role in modernization of vocational training. It is especially relevant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineering and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling.

The teaching co­ur­se of discre­te mat­he­ma­tics for the future vocational te­ac­hers sho­uld be re­le­vant to the tar­get qua­li­fi­ca­ti­on and aimed at mastering the mat­he­ma­ti­cal mo­de­ling, systems of com­pu­ter mat­he­ma­tics and com­pu­ter techno­lo­gi­es. The author emphasizes the fun­da­men­tal ro­le of mastering the lan­gua­ge of al­geb­ra­ic and se­ri­al struc­tu­res, as well as the lo­gi­cal, al­go­rithmic, com­bi­na­tory sche­mes do­mi­na­ting in discre­te mat­he­ma­tics.

The guidelines for se­lec­ti­ng the con­tent of the co­ur­se in discre­te mat­he­ma­tics are specified. The theoretical findings of the research can be put in­to prac­ti­ce whilst de­ve­lo­ping cur­ri­cu­la and wor­king prog­rams for bac­he­lors and mas­ters’ tra­ining.

1. Glushkov V. M. Cybernetics. Theory and Practice: monogr. M.: Nauka, 1986. 888 s.

2. Klekovkin G. A., Perminov E. A. Diskretnaya Matematika: Kombinatornye configuration and number of kobinatornye: studies. book for students of pedagogical universities.   Samara: SF MGPU, 2005. 112 s.

3. Klekovkin G. A., Perminov E. A. Diskretnaya Matematika : Recurrence relations and generating functions  11. Rekurrentnye sootnoshenija i proizvodjawie funkcii. 110 s. Samara: SF MGPU, 2005

4. Klekovkin G. A., Perminov E. A. Diskretnaya Matematika. III: graphs Grafy. 194 s. Samara: SF MGPU, 2005

5. Klekovkin G. A., Perminov E. A. Diskretnaya Matematika  IV: Asymptotic estimates and approximations 50 s. Samara: SF MGPU, 2005

6. Klekovkin G. A., Perminov E. A. Problems in discrete mathematics. Combinatorial configurations and combinatorial number  . Samara: SF MGPU, 2005. 50 s.

7. Kolmogorov A. N. // Matematika v shk. 1969. № 3. S. 12–18.

8. Konysheva L. K. Diskretnaya Matematika . Ekaterinburg: Izd vo RGPPU, 2010. 206 s.

9. Konysheva L. K., Meshkov V. V. Book of problems in discrete mathematics. Ekaterinburg: Izd vo RGPPU, 2010. 140 s.

10. Mathematical  Encyclopaedia. / gl. red. I. M. Vinogradov. T. 2. M.: Sov. jencikl., 1979.

11. Perminov E. A. Methodological foundations of discrete mathematics teaching in the "school - university": monograph. Ekaterinburg: Izd vo RGPPU, 2006. 237 s.

12. Perminov E. A. // Obrazovanie i nauka. Izv. UrO RAO. Prilozhenie. 2006. № 2 (2). S. 37–40.

13. Testov V. A. The problem of updating the content of teaching mathematics at school. // Prepodavanie matematiki v shkolah i vuzah: problemy soderzhanija, tehnologii i metodiki: materialy Vseros. nauchno-prakt. konf. Glazov: Glazovskij gos. ped. in t, 2009. S. 106–111.

14. The federal government standard of higher education toward training 051 000 Vocational Training (by industry). Qualifications Bachelor..

15. The federal government standard of higher education toward training 051 000 Vocational Training (by industry). Qualifications Master. 16. Fedorov V. A. // Obrazovanie i nauka. Izv. UrO RAO. 2008. № 9 (57). S. 127–134.